Add to ORKGIn this paper, we compute the motive of the character variety of representations of the fundamental group of the complement of an arbitrary torus knot into $SL_4(k)$, for any algebraically closed field $k$ of zero characteristic. For that purpose, we introduce a stratification of the variety in terms of the type of a canonical filtration attached to any representation. This allows us to reduce the computation of the motive to a combinatorial problem.Comment: 37 pages. Note: download source for the output of all the strata as separate fil
We show that if a knot exterior satisfies certain conditions, then it has finite cyclic coverings wi...
The aim of this paper is to study the virtual classes of representation varieties of surface groups ...
Let ₘ⁄₂ be the torus knot of type (m; 2). It is well-known that the fundamental group of ᶟ∖ n ₘ⁄₂ i...
We describe the geometry of the character variety of representations of the knot group $\Gamma_{m,n}...
We compute the motive of the variety of representations of the torus knot of type (m, n) into the af...
We compute the motive of the variety of representations of the torus knot of type (m, n) into the af...
In this paper, we study a weaker version of algebraic quotient for the action of an algebraic group ...
Let G be the fundamental group of the complement of the torus knot of type (m, n). It has a presenta...
International audienceThe first part of this article is a general introduction to the the theory of ...
Abstract. Let G be the fundamental group of the complement of the torus knot of type (m,n). We study...
Let R be the connected component of the identity of the variety of representations of a finitely gen...
be the torus knot of type (m, 2). It is well-known that the fundamental group of In this paper we ob...
The Grothendieck ring of Chow motives admits two natural opposite $\lambda$-ring structures, one of ...
Abstract. We find explicit models for the PSL2(C)- and SL2(C)-character varieties of the fundamental...
In this paper, we construct a lax monoidal Topological Quantum Field Theory that computes virtual cl...
We show that if a knot exterior satisfies certain conditions, then it has finite cyclic coverings wi...
The aim of this paper is to study the virtual classes of representation varieties of surface groups ...
Let ₘ⁄₂ be the torus knot of type (m; 2). It is well-known that the fundamental group of ᶟ∖ n ₘ⁄₂ i...
We describe the geometry of the character variety of representations of the knot group $\Gamma_{m,n}...
We compute the motive of the variety of representations of the torus knot of type (m, n) into the af...
We compute the motive of the variety of representations of the torus knot of type (m, n) into the af...
In this paper, we study a weaker version of algebraic quotient for the action of an algebraic group ...
Let G be the fundamental group of the complement of the torus knot of type (m, n). It has a presenta...
International audienceThe first part of this article is a general introduction to the the theory of ...
Abstract. Let G be the fundamental group of the complement of the torus knot of type (m,n). We study...
Let R be the connected component of the identity of the variety of representations of a finitely gen...
be the torus knot of type (m, 2). It is well-known that the fundamental group of In this paper we ob...
The Grothendieck ring of Chow motives admits two natural opposite $\lambda$-ring structures, one of ...
Abstract. We find explicit models for the PSL2(C)- and SL2(C)-character varieties of the fundamental...
In this paper, we construct a lax monoidal Topological Quantum Field Theory that computes virtual cl...
We show that if a knot exterior satisfies certain conditions, then it has finite cyclic coverings wi...
The aim of this paper is to study the virtual classes of representation varieties of surface groups ...
Let ₘ⁄₂ be the torus knot of type (m; 2). It is well-known that the fundamental group of ᶟ∖ n ₘ⁄₂ i...